107 citations · 419 across the 18 of their papers we have counts for
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Spectral stability for strong ideal-gas shock layers
Jeffrey Humpherys
We give a purely analytical proof of one-dimensional spectral stability of sufficiently strong shock layers for the full ideal-gas Navier--Stokes equations with constant viscosity…
Balanced flux formulations for multidimensional Evans function computations for viscous shocks
Blake Barker, Jeffrey Humpherys, Gregory Lyng +1
The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the one-dimensional case, it is t…
Multidimensional stability of large-amplitude Navier-Stokes shocks
Jeffrey Humpherys, Gregory Lyng, Kevin Zumbrun
Extending results of Humpherys-Lyng-Zumbrun in the one-dimensional case, we use a combination of asymptotic ODE estimates and numerical Evans-function computations to examine the m…
Viscous hyperstabilization of detonation waves in one space dimension
Blake Barker, Jeffrey Humpherys, Gregory Lyng +1
It has long been a standard practice to neglect diffusive effects in stability analyses of detonation waves. Here, with the principal aim of quantifying the impact of these oft-neg…
Stability of viscous weak detonation waves for Majda's model
Jeffrey Hendricks, Jeffrey Humpherys, Gregory Lyng +1
Continuing the program initiated by Humpherys, Lyng, & Zumbrun [17] for strong detonation waves, we use a combination of analytical and numerical Evans-function techniques to analy…
Stability of viscous detonations for Majda's model
Jeffrey Humpherys, Gregory Lyng, Kevin Zumbrun
Using analytical and numerical Evans-function techniques, we examine the spectral stability of strong-detonation-wave solutions of Majda's scalar model for a reacting gas mixture w…
One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamic
Blake Barker, Jeffrey Humpherys, Kevin Zumbrun
Extending investigations of Barker, Humpherys, Lafitte, Rudd, and Zumbrun for compressible gas dynamics and Freistühler and Trakhinin for compressible magnetohydrodynamics, we stud…
On the shock wave spectrum for isentropic gas dynamics with capillarity
Jeffrey Humpherys
We consider the stability problem for shock layers in Slemrod's model of an isentropic gas with capillarity. We show that these traveling waves are monotone in the weak capillarity…
Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers
Nicola Costanzino, Jeffrey Humpherys, Toan Nguyen +1
Building on work of Barker, Humpherys, Lafitte, Rudd, and Zumbrun in the shock wave case, we study stability of compressive, or "shock-like", boundary layers of the isentropic comp…
Stability of viscous shocks in isentropic gas dynamics
Blake Barker, Jeffrey Humpherys, Keith Rudd +1
In this paper, we examine the stability problem for viscous shock solutions of the isentropic compressible Navier--Stokes equations, or -system with real viscosity. We first rev…